A fully charged RC circuit is set up using R = 15.0 Ω and C = 8.20 μF with the switch initially open, as shown in the figure. At a certain time after the switch is closed, the current in the circuit has magnitude 3.00 A and the charge on the capacitor is 30.0 μC. At this time, what is the rate at which energy is being stored in the capacitor (in W)?
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A fully charged RC circuit is set up using R = 15.0 Ω and C = 8.20 μF with the switch initially open, as shown in the figure. At a certain time after the switch is closed, the current in the circuit has magnitude 3.00 A and the charge on the capacitor is 30.0 μC. At this time, what is the rate at which energy is being stored in the capacitor (in W)?


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- This problem involves analyzing an RC circuit. See the circuit diagram below. Switch closes at t = 0 s. А. When the switch closes at t = 0, the capacitor will begin to charge. What is AVc a very long time after the switch has closed? After a very long time, what is the maximum charge on the capacitor, Qmax in terms of a combination of problem variables Ɛ, C or R? %3D Apply Kirchhoff's loop law starting clockwise from the lower left corner. Write down the loop equation for this circuit. How is the current through the resistor related to the instantaneous capacitor charge? Is I = + dQ/dt or I = – dQ/dt? Explain. | В. The Kirchhoff loop equation from part (A) should be a differential equation in terms of dQ/dt. Using the differential equation technique “separation of variables" show that charge as a function of time is given by Q(t) = Qmax(1 – e-t/t). С. Using the result of part (B) determine and expression for the current as a function of time 1(t). Sketch Q (t) and I(t) from t = 0 to t…b. A capacitor in a RC circuit is charged for a long time as shown in the Figure below, where the battery voltage V=6V. The switch s is flipped from a to b and the capacitor discharges through the R = 4 MQ resistor. 4 seconds after the switch is flipped to discharge the capacitor, the voltage across the capacitor is 3 V. What are (a) The time constant of this circuit (b) The capacitance of the capacitor (c) The current in the circuit and the charge on the capacitor just before the switch is flipped from a to b. (d) The current in the circuit immediately after the switch is flipped from a to bIn the figure ℰ1 = 3.22 V, ℰ2 = 0.927 V, R1 = 3.89 Ω, R2 = 2.23 Ω, R3 = 3.65 Ω, and both batteries are ideal. What is the rate at which energy is dissipated in (a) R1, (b) R2, and (c) R3? What is the power of (d) battery 1 and (e) battery 2?
- RC Circuits: In this circuit, the battery has voltage E = 2.0 V, and each resistor has resistance R = 10 Q. The capacitor, which has capacitance C = 1.0 x10-12 F, carries. initial charge 3.0 x 10-12 C, with the positive charge on the right plate. The switch is closed at time t = 0 s. a. Immediately after time t = 0, what current flows through resistor 1? b. A long time later, what current flows through resistor 1? c. Sketch a rough graph of the charge on the right capacitor plate, as a function of time. દ 8. ww C R 2 R3You connect an initially uncharged 6.40 mF capacitor in series with a 5.00 MΩ resistor and a battery with emf 12.0 V. After letting the capacitor charge for 51.0 s, you disconnect it from this circuit and connect it in series to an open switch and a 6.00 MΩ resistor. Find the charge on the capacitor (a) when you disconnect it from the first circuit and (b) 70.0 s after you close the switch in the second circuit.Consider the circuit shown below. The resistor has R= 40 ohms and the capacitor has C= 6 x10^-6 F. Initially the switch is open and there is no charge on the capacitor and no current in the resistor. At a time after the switch is closed the current in the resistor is 2 A and the charge on the capacitor is q= +3.00 x 10^-4 C. What is the emf of the battery?
- The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 8 6. 4. 2. O 6. t(s) 10 20 30 40 50 60 70 80 90 100 4. Second graph The Q vs t graph shown below is for the capacitor of an RC circuit. Q (C) 8 2 2 3 4 Determine the time constant of the RC circuit. t(s) T= If C = 4 F, determine R. R = Ω In this case, was the capacitor charging or discharging? --Select- Determine the time constant of the RC circuit. T= If R = 102, determine C. C = In this case, was the capacitor charging or discharging? -Select- + #In the circuit in the following figure the two capacitors are initially charged at 45.0 V. (a) How long after closing the S switch the potential through each capacitor will be reduced to 10.0 V? (b) At that time, what will be the value of the current?The capacitor with capacitance C₁ initially carries a charge Q (see figure below). While, the capacitor with capacitance C₂ is initially uncharged. The switch S is closed at time t = 0, and the charges begin to flow in the circuit. Find the charge flown through the wires as a function of time, q(t). QC₁ A) (0) (1 - e-(C₁+C₂)t/RC₁C₂) C₁+C₂ B) (02₂) (1 - e-(C₁+C₂)t/RC₁C₂) C₁+C₂ QC₁ C₂ C) (043) (1 — e¯(C₁+C₂)t/RC₂C₂) D) Q(1 + e-(₁+₂)t/RC1C₂) E) None of the above. +Q C₁ R C₂